Each tier table consists of a center GUI and 3 side tabs. Each tab has a specific function

Info Tab

Provides info on where items should be placed. The numbers correspond to the numbers in the GUI itself so it is easier to find where items should be placed.

Recipes Tab

Provides the recipes user has already discovered. The arrows allow you to select what recipes you want to see,
The show button overlays item pictures onto the GUI itself so the player only has to add the items in right amounts,
The clear button removes any item or recipe overlays.

Output Tab

Allows selection of output slots. This tab is still in development and as of right now does nothing yet.

Assembly Table III GUI

If the slot with an item has a green glow, it means that a recipe exists that uses that item in the slot.
If the slot with an item has a red glow, it means that item does not belong there.
If the slot has no glow, it means no recipe uses that slot, or that there is no item in the slot.

The "Storage" part is still a work in progress and is not yet usable. In the upcoming updates, you will be able to store items there also.
All the tier tables are Tile Entities so the items in them will stay there if you close the GUI or when loading/saving worlds.